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Question: A ray of light from a liquid (m = \(\sqrt { 3 }\) ) is incident on a system of two right angled pris...

A ray of light from a liquid (m = 3\sqrt { 3 } ) is incident on a system of two right angled prism of refractive indices3\sqrt { 3 } and 2\sqrt { 2 } as shown. The ray suffers zero deviation when emerges into air from CD. The angle of incidence i is –

A

450

B

350

C

200

D

100

Answer

450

Explanation

Solution

By Snell's law at the surface AC

3\sqrt { 3 } sin = 2\sqrt { 2 } sin r …. (1)

By Snell's law at the surface DC,

2\sqrt { 2 } sin (π2r)\left( \frac { \pi } { 2 } - r \right) = 1 sin i ……. (2)